Insurance Deductible Optimizer Formula
Understand the math behind the insurance deductible optimizer. Each variable explained with a worked example.
Formulas Used
Annual Premium Savings
annual_savings = premium_savingsBreak-Even (No Claims)
breakeven_years = premium_savings > 0 ? extra_risk / premium_savings : 0Expected Cost (Low Deductible)
expected_annual_cost_low = low_premium + low_deductible * claim_probability / 100Expected Cost (High Deductible)
expected_annual_cost_high = high_premium + high_deductible * claim_probability / 100Variables
| Variable | Description | Default |
|---|---|---|
low_deductible | Lower Deductible(USD) | 500 |
high_deductible | Higher Deductible(USD) | 2000 |
low_premium | Annual Premium (Low Deductible)(USD) | 1800 |
high_premium | Annual Premium (High Deductible)(USD) | 1400 |
claim_probability | Estimated Claim Probability(%) | 10 |
premium_savings | Derived value= low_premium - high_premium | calculated |
extra_risk | Derived value= high_deductible - low_deductible | calculated |
How It Works
Choosing the Right Deductible
The Trade-Off
A higher deductible means lower premiums but more out-of-pocket cost when you file a claim.
Break-Even Analysis
Break-Even Years = Extra Risk / Annual Premium Savings
If you save $400/year by choosing a $1,500 higher deductible, you break even in 3.75 claim-free years.
Expected Cost
Expected Cost = Annual Premium + (Deductible x Claim Probability)
This factors in the statistical likelihood of actually filing a claim.
Worked Example
$500 vs $2,000 deductible, $1,800 vs $1,400 annual premium, 10% claim probability.
low_deductible = 500high_deductible = 2000low_premium = 1800high_premium = 1400claim_probability = 10
- 01Premium savings = $1,800 - $1,400 = $400/year
- 02Extra risk = $2,000 - $500 = $1,500
- 03Break-even = $1,500 / $400 = 3.75 years without claims
- 04Expected cost (low) = $1,800 + $500 x 10% = $1,850
- 05Expected cost (high) = $1,400 + $2,000 x 10% = $1,600
Ready to run the numbers?
Open Insurance Deductible Optimizer